Advanced Algebra by Anthony W. Knapp
Advanced Algebra - Table of Contents
- 1. Transition to Modern Number Theory
- 2. Wedderburn Artin Ring Theory
- 3. Brauer Group
- 4. Homological Algebra
- 5. Three Theorems in Algebraic Number Theory
- 6. Reinterpretation with Adeles and Ideles
- 7. Infinite Field Extensions
- 8. Background for Algebraic Geometry
- 9. The Number Theory of Algebraic Curves
- 10. Methods of Algebraic Geometry (Continued)
What You Will Learn in Advanced Algebra
Advanced Algebra by Anthony W. Knapp (Cornerstones Series) is an authoritative graduate-level mathematics textbook designed for advanced students and researchers. Serving as an essential open academic reference, this volume provides a robust framework for advanced algebra textbook problem solving practice.
Building seamlessly upon basic algebra concepts, the book systematically covers transition topics including module theory, commutative algebra, homological algebra, algebraic number theory, Galois theory, group representations, and algebraic geometry. By combining deep theoretical clarity with rigorous proofs, Knapp enables readers to execute complex ring constructions and category-theoretic evaluations with complete analytical mastery.
Treasured worldwide by university professors and graduate researchers for its clear logical structure, comprehensive appendices, and challenging exercises, this open-access resource serves as an exceptional study guide. Knapp’s exposition equips mathematicians with vital conceptual tools required for mastering modern advanced algebra principles.
Book Details & Specifications
Title:
Advanced Algebra by Anthony W. Knapp
Publisher:
Birkhäuser
Year:
2016
Pages:
758
Type:
PDF
Language:
English
ISBN-10 #:
0817645225
ISBN-13 #:
978-0817645229
License:
External Educational Resource
Amazon:
Amazon
About the Author: Anthony William Knapp
The author Anthony William Knapp
is Professor Emeritus of Mathematics at Stony Brook University and a Fellow of the American Mathematical Society (AMS), renowned for his seminal research in representation theory and Lie groups. His iconic volumes in the Cornerstones series stand as world-standard advanced algebra, real analysis, and representation theory study guides.
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